One thing to consider on the manual vs. auto transfer switch; When manually transferring power all electronic type devices are going to reboot at power transfer. A good quality auto transfer switch will sync power sources prior to power transfer such that most electronic devices won't reboot.
IMO the transfer device -if installed on shorepower input, should be sized for the shorepower capabilities; 30 amp rv system needs a minimum 30 amp rated device. 50 amp RV needs a minimum of a 50 amp rated device.
On you inverter fusing question; what does the Owners Manual call for? Make sure you account for power boost function and surge function requirements. Manufacturers like Samlex, Victron, Xantrex have detailed information on fuse sizing and conductor sizing to handle the inverter capability. The budget market inverter manufacturers don't give much if any information regarding fuse/conductor sizing needed to make their device fully function.